{
  "schema_version": 1,
  "id": "physics-ms-source-mock-01",
  "subject": "physics",
  "exam_type": "milliy_sertifikat",
  "title": "Fizika Milliy sertifikat — Test 1",
  "source_title": "UzbekEdu Fizika Milliy Sertifikat — Mock 01 FINAL",
  "source_disclosure": "22.02.2025 imtihonidan keyin qayta tiklangan Sobirov Ulug‘bek materiali asosidagi practice variant. Rasmiy Agentlik bukleti deb da’vo qilinmaydi.",
  "source_author": "Sobirov Ulug‘bek",
  "source_date": "2025-02-22",
  "solution_url": "/assets/data/physics-ms/physics_ms_source_mock_01_solutions.json",
  "total_questions": 45,
  "automatically_graded_questions": 45,
  "scored_elements": 55,
  "duration_minutes": 150,
  "questions": [
    {
      "number": 1,
      "topic": "kinematics_acceleration_components",
      "prompt_uz": "Umumiy tezlanish a, normal an va tangensial at bo‘lsa, qaysi munosabatlar doimo bajarilishini aniqlang.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 1
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "C"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "1 va 3"
        },
        {
          "label": "B",
          "text": "2 va 4"
        },
        {
          "label": "C",
          "text": "3 va 4"
        },
        {
          "label": "D",
          "text": "1 va 4"
        }
      ],
      "answer_display": "C) a ≥ at va a ≥ an (3 va 4)"
    },
    {
      "number": 2,
      "topic": "relative_velocity",
      "prompt_uz": "Birinchi jism sharqqa 5/13 m/s, ikkinchisi janubga 12/13 m/s yuradi. Nisbiy tezlik modulini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 2
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "1"
        },
        {
          "label": "B",
          "text": "17/13"
        },
        {
          "label": "C",
          "text": "7/13"
        },
        {
          "label": "D",
          "text": "5"
        }
      ],
      "answer_display": "A) 1 m/s"
    },
    {
      "number": 3,
      "topic": "friction_graph",
      "prompt_uz": "F_ishq ning N ga bog‘lanish grafigidagi 1,2,3 nuqtalar uchun ishqalanish koeffitsiyentlarini taqqoslang.",
      "context_uz": "",
      "diagram": "/assets/images/physics-ms/mock-01/q03-friction-graph.svg",
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 3
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "μ1>μ2>μ3"
        },
        {
          "label": "B",
          "text": "μ2>μ1=μ3"
        },
        {
          "label": "C",
          "text": "source typo/duplicate relation"
        },
        {
          "label": "D",
          "text": "μ3>μ2=μ1"
        }
      ],
      "answer_display": "B) μ2 > μ1 = μ3"
    },
    {
      "number": 4,
      "topic": "statics_two_force_member",
      "prompt_uz": "Uzunligi 1.3 m vaznsiz AB sterjen, CB=0.5 m gorizontal arqon va B nuqtada 12 kg yuk. Sterjendagi reaksiya kuchini toping.",
      "context_uz": "",
      "diagram": "/assets/images/physics-ms/mock-01/q04-statics-rod.png",
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 4
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "165"
        },
        {
          "label": "B",
          "text": "130"
        },
        {
          "label": "C",
          "text": "120"
        },
        {
          "label": "D",
          "text": "135"
        }
      ],
      "answer_display": "B) 130 N"
    },
    {
      "number": 5,
      "topic": "apparent_weight_earth_rotation",
      "prompt_uz": "Yer sirtidagi ko‘rsatilgan nuqtada jismning og‘irlik yo‘nalishini rasm bo‘yicha tanlang.",
      "context_uz": "",
      "diagram": "/assets/images/physics-ms/mock-01/q05-earth-weight.svg",
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 5
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "4"
        },
        {
          "label": "B",
          "text": "1"
        },
        {
          "label": "C",
          "text": "2"
        },
        {
          "label": "D",
          "text": "3"
        }
      ],
      "answer_display": "A) 4-yo‘nalish"
    },
    {
      "number": 6,
      "topic": "hookes_law",
      "prompt_uz": "5 kg yuk osilganda prujina 8 cm cho‘ziladi. Prujina bikirligini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 6
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "25/4"
        },
        {
          "label": "B",
          "text": "5/8"
        },
        {
          "label": "C",
          "text": "4/25"
        },
        {
          "label": "D",
          "text": "12.5"
        }
      ],
      "answer_display": "B) 625 N/m = 0.625 kN/m = 6.25 N/cm"
    },
    {
      "number": 7,
      "topic": "orbital_speed",
      "prompt_uz": "Yerning Quyosh atrofidagi tezligi 30 (nisbiy birlik saqlanadi). Zuhro orbitasi radiusi Yer orbitasidan 25% kichik. Zuhro tezligini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 7
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "30.5"
        },
        {
          "label": "B",
          "text": "34.6"
        },
        {
          "label": "C",
          "text": "39"
        },
        {
          "label": "D",
          "text": "41"
        }
      ],
      "answer_display": "B) ≈34.6"
    },
    {
      "number": 8,
      "topic": "momentum_vectors",
      "prompt_uz": "2 kg jism 6 m/s, 1 kg jism 5 m/s tezliklarda o‘zaro tik harakat qiladi. Natijaviy impuls modulini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 8
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "13"
        },
        {
          "label": "B",
          "text": "12"
        },
        {
          "label": "C",
          "text": "25"
        },
        {
          "label": "D",
          "text": "169"
        }
      ],
      "answer_display": "A) 13 kg·m/s"
    },
    {
      "number": 9,
      "topic": "simple_harmonic_motion",
      "prompt_uz": "Grafikdagi x(t) garmonik tebranish uchun t=8/3 s dagi tezlanishni toping.",
      "context_uz": "",
      "diagram": "/assets/images/physics-ms/mock-01/q09-shm-graph.svg",
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 9
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "−√3π²/32"
        },
        {
          "label": "B",
          "text": "+√3π²/32"
        },
        {
          "label": "C",
          "text": "−π²/32"
        },
        {
          "label": "D",
          "text": "+π²/32"
        }
      ],
      "answer_display": "A) −√3·π²/32 m/s²"
    },
    {
      "number": 10,
      "topic": "oscillator_energy",
      "prompt_uz": "Prujinali mayatnikning to‘la energiyasi 5 marta ortsa amplituda qanday o‘zgaradi?",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 10
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "C"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "5 marta kamayadi"
        },
        {
          "label": "B",
          "text": "5 marta ortadi"
        },
        {
          "label": "C",
          "text": "√5 marta ortadi"
        },
        {
          "label": "D",
          "text": "√5 marta kamayadi"
        }
      ],
      "answer_display": "C) √5 marta ortadi"
    },
    {
      "number": 11,
      "topic": "buoyancy_gases",
      "prompt_uz": "Havo shari geliy o‘rniga teng miqdordagi neon bilan to‘ldirilsa yuk ko‘tarish qobiliyati qanday o‘zgaradi? M_havo=29.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 11
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "D"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "29/9"
        },
        {
          "label": "B",
          "text": "29/20"
        },
        {
          "label": "C",
          "text": "9/29"
        },
        {
          "label": "D",
          "text": "25/9"
        }
      ],
      "answer_display": "D) 25/9 marta kamayadi"
    },
    {
      "number": 12,
      "topic": "ideal_gas_process",
      "prompt_uz": "p–T grafikdagi 1→2 o‘tish jarayonini va gaz zichligi o‘zgarishini aniqlang.",
      "context_uz": "",
      "diagram": "/assets/images/physics-ms/mock-01/q12-pt-graph.svg",
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 12
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "D"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "Izobarik, ortadi"
        },
        {
          "label": "B",
          "text": "Izotermik, ortadi"
        },
        {
          "label": "C",
          "text": "Izoxorik, ortadi"
        },
        {
          "label": "D",
          "text": "Izoxorik, o‘zgarmaydi"
        }
      ],
      "answer_display": "D) Izoxorik, zichlik o‘zgarmaydi"
    },
    {
      "number": 13,
      "topic": "ideal_gas_mass_loss",
      "prompt_uz": "p1=1.5 MPa, T1=27°C. Gaz 60°C ga qizdirilib, moddaning 40% chiqib ketadi. Oxirgi bosimni toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 13
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "0.92"
        },
        {
          "label": "B",
          "text": "1.08"
        },
        {
          "label": "C",
          "text": "0.96"
        },
        {
          "label": "D",
          "text": "0.88"
        }
      ],
      "answer_display": "B) 1.08 MPa"
    },
    {
      "number": 14,
      "topic": "open_room_internal_energy",
      "prompt_uz": "Xonadagi havo 290 K dan 300 K gacha qizitiladi, bosim o‘zgarmaydi. Xona hajmi o‘zgarmas deb olinib, gaz ichki energiyasi qanday o‘zgaradi?",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 14
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "C"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "Chiziqli ortadi"
        },
        {
          "label": "B",
          "text": "Chiziqli kamayadi"
        },
        {
          "label": "C",
          "text": "O‘zgarmaydi"
        },
        {
          "label": "D",
          "text": "Keskin ortadi"
        }
      ],
      "answer_display": "C) O‘zgarmaydi"
    },
    {
      "number": 15,
      "topic": "monoatomic_gas_internal_energy",
      "prompt_uz": "4 mol bir atomli ideal gazning ichki energiyasi 9600 J. Absolyut haroratni toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 15
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "193"
        },
        {
          "label": "B",
          "text": "243"
        },
        {
          "label": "C",
          "text": "240"
        },
        {
          "label": "D",
          "text": "200"
        }
      ],
      "answer_display": "A) ≈193 K"
    },
    {
      "number": 16,
      "topic": "surface_tension_droplet",
      "prompt_uz": "Havodagi hajmi 32 mm³ suv tomchisi ichidagi egrilik tufayli qo‘shimcha bosimni toping (π≈3).",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 16
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "73"
        },
        {
          "label": "B",
          "text": "146"
        },
        {
          "label": "C",
          "text": "93"
        },
        {
          "label": "D",
          "text": "116"
        }
      ],
      "answer_display": "A) ≈73 Pa"
    },
    {
      "number": 17,
      "topic": "shm_force",
      "prompt_uz": "10 kg jism amplitudasi 25 cm va chastotasi 0.2 Hz bilan tebranadi. Maksimal kuchni toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "R2023",
        "source_label": "03.12.2023 audited reconstruction",
        "source_date": "2023-12-03",
        "source_question_no": 21,
        "replacement": true
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "0.4 N"
        },
        {
          "label": "B",
          "text": "4 N"
        },
        {
          "label": "C",
          "text": "16 N"
        },
        {
          "label": "D",
          "text": "32 N"
        }
      ],
      "answer_display": "B) ≈4 N"
    },
    {
      "number": 18,
      "topic": "atomic_structure",
      "prompt_uz": "²⁰⁷₈₂Pb neytral atomidagi elektronlar sonini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 18
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "D"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "207"
        },
        {
          "label": "B",
          "text": "125"
        },
        {
          "label": "C",
          "text": "87"
        },
        {
          "label": "D",
          "text": "82"
        }
      ],
      "answer_display": "D) 82 ta"
    },
    {
      "number": 19,
      "topic": "electrostatic_potential_energy",
      "prompt_uz": "Q va q zaryadlar 10 cm uzoqlikda. 10→5 cm yaqinlashtirish uchun 4/5 mJ ish bajarilgan. 5→2 cm yaqinlashtirish uchun ishni toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 19
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "4.8"
        },
        {
          "label": "B",
          "text": "2.4"
        },
        {
          "label": "C",
          "text": "16/15"
        },
        {
          "label": "D",
          "text": "8/15"
        }
      ],
      "answer_display": "B) 2.4 mJ"
    },
    {
      "number": 20,
      "topic": "conducting_spheres",
      "prompt_uz": "Bir xil o‘lchamli metall sharlar 110 V va −40 V potensialga ega. Tegizilgach umumiy potensialni toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 20
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "70"
        },
        {
          "label": "B",
          "text": "35"
        },
        {
          "label": "C",
          "text": "−5"
        },
        {
          "label": "D",
          "text": "140"
        }
      ],
      "answer_display": "B) 35 V"
    },
    {
      "number": 21,
      "topic": "resistance_temperature_coefficient",
      "prompt_uz": "Alyuminiy doimiy kuchlanishda 0°C da 35 mA, 100°C da 25 mA tok o‘tkazadi. Termik koeffitsiyentni toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 21
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "C"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "28.4"
        },
        {
          "label": "B",
          "text": "36.4"
        },
        {
          "label": "C",
          "text": "4"
        },
        {
          "label": "D",
          "text": "12"
        }
      ],
      "answer_display": "C) 4×10^−3 K^−1"
    },
    {
      "number": 22,
      "topic": "joule_lenz",
      "prompt_uz": "120 V rezistorda 2.5 min davomida 3.6 kJ issiqlik ajraldi. Tok kuchini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 22
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "D"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "0.1"
        },
        {
          "label": "B",
          "text": "1"
        },
        {
          "label": "C",
          "text": "5"
        },
        {
          "label": "D",
          "text": "0.2"
        }
      ],
      "answer_display": "D) 0.2 A"
    },
    {
      "number": 23,
      "topic": "dc_bridge_voltage",
      "prompt_uz": "4 V manbaga ulangan 3Ω–1Ω va 1Ω–3Ω tarmoqlarning o‘rta nuqtalari orasidagi voltmetr ko‘rsatishini toping.",
      "context_uz": "",
      "diagram": "/assets/images/physics-ms/mock-01/q23-bridge-circuit.png",
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 23
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "2"
        },
        {
          "label": "B",
          "text": "2.5"
        },
        {
          "label": "C",
          "text": "1.5"
        },
        {
          "label": "D",
          "text": "4"
        }
      ],
      "answer_display": "A) 2 V"
    },
    {
      "number": 24,
      "topic": "ac_series_power",
      "prompt_uz": "R=4Ω, Xc=2Ω, Xl=5Ω ketma-ket AC zanjirda Ueff=50 V. Foydali quvvatni toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 24
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "300"
        },
        {
          "label": "B",
          "text": "400"
        },
        {
          "label": "C",
          "text": "500"
        },
        {
          "label": "D",
          "text": "200"
        }
      ],
      "answer_display": "B) 400 W"
    },
    {
      "number": 25,
      "topic": "lc_oscillation",
      "prompt_uz": "Ideal LC konturida kondensator zaryadi maksimumdan nolga tomon kamaymoqda. Tok kuchi moduli qanday o‘zgaradi?",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 25
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "Kamayadi"
        },
        {
          "label": "B",
          "text": "Ortadi"
        },
        {
          "label": "C",
          "text": "O‘zgarmaydi"
        },
        {
          "label": "D",
          "text": "Keskin kamayadi"
        }
      ],
      "answer_display": "B) Ortadi"
    },
    {
      "number": 26,
      "topic": "charged_particle_magnetic_field",
      "prompt_uz": "Zarralar magnit maydonda 2R va 3R radiuslarda aylanadi. Lorens kuchlari teng bo‘lsa E1/E2 ni toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 26
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "2/3"
        },
        {
          "label": "B",
          "text": "4/9"
        },
        {
          "label": "C",
          "text": "3/2"
        },
        {
          "label": "D",
          "text": "1/3"
        }
      ],
      "answer_display": "A) 2/3"
    },
    {
      "number": 27,
      "topic": "charged_particle_magnetic_field",
      "prompt_uz": "Zarralar magnit maydonda 2R va 3R radiuslarda aylanadi. Kinetik energiyalari teng bo‘lsa F1/F2 ni toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 27
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "3/2"
        },
        {
          "label": "B",
          "text": "9/4"
        },
        {
          "label": "C",
          "text": "2/3"
        },
        {
          "label": "D",
          "text": "4"
        }
      ],
      "answer_display": "A) 3/2"
    },
    {
      "number": 28,
      "topic": "reflection_mirror_rotation",
      "prompt_uz": "Qaytgan nur 40° ga burilishi uchun ko‘zgu necha gradusga buriladi?",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 28
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "20"
        },
        {
          "label": "B",
          "text": "15"
        },
        {
          "label": "C",
          "text": "30"
        },
        {
          "label": "D",
          "text": "10"
        }
      ],
      "answer_display": "A) 20°"
    },
    {
      "number": 29,
      "topic": "concave_mirror",
      "prompt_uz": "Botiq ko‘zgudan buyumgacha 20 cm. Haqiqiy tasvir 5/3 marta kattalashgan. Egrilik radiusini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 29
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "C"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "50"
        },
        {
          "label": "B",
          "text": "37.5"
        },
        {
          "label": "C",
          "text": "25"
        },
        {
          "label": "D",
          "text": "12.5"
        }
      ],
      "answer_display": "C) 25 cm"
    },
    {
      "number": 30,
      "topic": "diffraction_grating",
      "prompt_uz": "Panjara doimiysi 6 μm. 5-tartibli maksimum deyarli 90° da. To‘lqin uzunligini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 30
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "A"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "1.2"
        },
        {
          "label": "B",
          "text": "2.4"
        },
        {
          "label": "C",
          "text": "3.6"
        },
        {
          "label": "D",
          "text": "0.6"
        }
      ],
      "answer_display": "A) 1.2 μm"
    },
    {
      "number": 31,
      "topic": "rotational_motion",
      "prompt_uz": "Burchak tezlanish bilan aylanayotgan disk 6 s da 4 marta aylandi. Aylanish oxiridagi burchak tezlikni toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "R2023",
        "source_label": "03.12.2023 audited reconstruction",
        "source_date": "2023-12-03",
        "source_question_no": 22,
        "replacement": true
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "4π/3"
        },
        {
          "label": "B",
          "text": "8π/3"
        },
        {
          "label": "C",
          "text": "5π/3"
        },
        {
          "label": "D",
          "text": "2π"
        }
      ],
      "answer_display": "B) 8π/3 rad/s"
    },
    {
      "number": 32,
      "topic": "radioactivity_energy",
      "prompt_uz": "N0=10^20, T1/2=24 h. Har parchalanishda 400 keV chiqadi. 30 sutkada ajraladigan energiyani toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 32
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "B"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "7.2"
        },
        {
          "label": "B",
          "text": "6.4"
        },
        {
          "label": "C",
          "text": "4.8"
        },
        {
          "label": "D",
          "text": "5.3"
        }
      ],
      "answer_display": "B) ≈6.4 MJ"
    },
    {
      "number": 33,
      "topic": "dc_network",
      "prompt_uz": "12 V manbali ko‘priksimon zanjirda birinchi ideal ampermetr tokini toping.",
      "context_uz": "",
      "diagram": "/assets/images/physics-ms/mock-01/q33-35-ammeter-circuit.svg",
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 33
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "F"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "1.5 A"
        },
        {
          "label": "B",
          "text": "4.5 A"
        },
        {
          "label": "C",
          "text": "6 A"
        },
        {
          "label": "D",
          "text": "4 A"
        },
        {
          "label": "E",
          "text": "8 A"
        },
        {
          "label": "F",
          "text": "2 A"
        }
      ],
      "answer_display": "F) 2 A"
    },
    {
      "number": 34,
      "topic": "dc_network",
      "prompt_uz": "Shu zanjirda ikkinchi ideal ampermetr tokini toping.",
      "context_uz": "",
      "diagram": "/assets/images/physics-ms/mock-01/q33-35-ammeter-circuit.svg",
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 34
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "D"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "1.5 A"
        },
        {
          "label": "B",
          "text": "4.5 A"
        },
        {
          "label": "C",
          "text": "6 A"
        },
        {
          "label": "D",
          "text": "4 A"
        },
        {
          "label": "E",
          "text": "8 A"
        },
        {
          "label": "F",
          "text": "2 A"
        }
      ],
      "answer_display": "D) 4 A"
    },
    {
      "number": 35,
      "topic": "dc_network",
      "prompt_uz": "Shu zanjirda uchinchi ideal ampermetr tokini toping.",
      "context_uz": "",
      "diagram": "/assets/images/physics-ms/mock-01/q33-35-ammeter-circuit.svg",
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 35
      },
      "response": {
        "type": "multiple_choice",
        "accepted": [
          "E"
        ]
      },
      "options": [
        {
          "label": "A",
          "text": "1.5 A"
        },
        {
          "label": "B",
          "text": "4.5 A"
        },
        {
          "label": "C",
          "text": "6 A"
        },
        {
          "label": "D",
          "text": "4 A"
        },
        {
          "label": "E",
          "text": "8 A"
        },
        {
          "label": "F",
          "text": "2 A"
        }
      ],
      "answer_display": "E) 8 A"
    },
    {
      "number": 36,
      "topic": "hydrostatics_floating_ice",
      "prompt_uz": "Tomoni 2 cm bo‘lgan ikkita muz kubi, asos yuzi 50 cm² idishdagi 45.6 g suvda. Muz to‘la erigach tubdagi bosim va bosim kuchini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 36
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Idish tubidagi bosimni toping.",
            "accepted": [
              "120 Pa",
              "120"
            ],
            "answer_display": "120 Pa"
          },
          {
            "key": "b",
            "prompt": "Idish tubiga ta’sir etuvchi bosim kuchini toping.",
            "accepted": [
              "0.6 N",
              "0.6"
            ],
            "answer_display": "0.6 N"
          }
        ]
      },
      "answer_display": "a) 120 Pa; b) 0.6 N"
    },
    {
      "number": 37,
      "topic": "hydrostatics_layers",
      "prompt_uz": "Teng massali suv va kerosin silindrik idishda, umumiy balandlik 27 cm. Suv ustuni va tubdan 8 cm balandlikdagi bosimni toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 37
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Suv ustunining balandligini toping.",
            "accepted": [
              "12 cm",
              "12"
            ],
            "answer_display": "12 cm"
          },
          {
            "key": "b",
            "prompt": "Idish tubidan 8 cm balandlikdagi bosimni toping.",
            "accepted": [
              "1600 Pa",
              "1600"
            ],
            "answer_display": "1600 Pa"
          }
        ]
      },
      "answer_display": "a) 12 cm; b) 1600 Pa"
    },
    {
      "number": 38,
      "topic": "inclined_plane_energy",
      "prompt_uz": "Uzunligi 8 m, sinα=0.6 silliq qiya tekislik tepasidan 20 kg jism qo‘yib yuboriladi. Etakdagi tezlik va og‘irlik kuchi ishini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 38
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Jism qiya tekislik etagiga yetgandagi tezligini toping.",
            "accepted": [
              "√96 m/s ≈9.80 m/s",
              "9.80"
            ],
            "answer_display": "√96 m/s ≈9.80 m/s"
          },
          {
            "key": "b",
            "prompt": "Og‘irlik kuchining bajargan ishini toping.",
            "accepted": [
              "960 J",
              "960"
            ],
            "answer_display": "960 J"
          }
        ]
      },
      "answer_display": "a) √96 m/s ≈9.80 m/s; b) 960 J"
    },
    {
      "number": 39,
      "topic": "isobaric_thermodynamics",
      "prompt_uz": "Bir atomli ideal gazga izobarik 60 kJ issiqlik berildi, hajm 3 marta ortdi. Harorat o‘zgarishi va gaz ishini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 39
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Gaz temperaturasining o‘zgarishini toping.",
            "accepted": [
              "Harorat 3 marta ortadi"
            ],
            "answer_display": "Harorat 3 marta ortadi"
          },
          {
            "key": "b",
            "prompt": "Gazning bajargan ishini toping.",
            "accepted": [
              "24 kJ",
              "24"
            ],
            "answer_display": "24 kJ"
          }
        ]
      },
      "answer_display": "a) Harorat 3 marta ortadi; b) 24 kJ"
    },
    {
      "number": 40,
      "topic": "calorimetry_ice",
      "prompt_uz": "Issiqlik sig‘imi 500 J/K idishda 5 L, 10°C suv bor. 1 kg, −5°C muz solinadi. Muvozanat temperaturasi va muz olgan issiqlikni toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 40
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Muvozanat temperaturasini toping.",
            "accepted": [
              "0°C",
              "0"
            ],
            "answer_display": "0°C"
          },
          {
            "key": "b",
            "prompt": "Muz olgan issiqlik miqdorini toping.",
            "accepted": [
              "215 kJ",
              "215"
            ],
            "answer_display": "215 kJ"
          }
        ]
      },
      "answer_display": "a) 0°C; b) 215 kJ"
    },
    {
      "number": 41,
      "topic": "electrostatic_field_work",
      "prompt_uz": "Bir jinsli E maydonda proton A dan B ga l masofada, AB vertikalga 30° burchak qiladi. ΔK va A→B→C→A yopiq yo‘ldagi maydon ishini toping.",
      "context_uz": "",
      "diagram": "/assets/images/physics-ms/mock-01/q41-electric-field.svg",
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 41
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Protonning kinetik energiyasi o‘zgarishini ΔK toping.",
            "accepted": [
              "eEl/2"
            ],
            "answer_display": "eEl/2"
          },
          {
            "key": "b",
            "prompt": "A→B→C→A yopiq yo‘lda elektr maydon bajargan ishni toping.",
            "accepted": [
              "0 J",
              "0"
            ],
            "answer_display": "0 J"
          }
        ]
      },
      "answer_display": "a) eEl/2; b) 0 J"
    },
    {
      "number": 42,
      "topic": "relativistic_momentum",
      "prompt_uz": "Tinchlik massasi m bo‘lgan jism c/3 tezlik bilan harakatlanadi; tezligi 2 marta oshiriladi.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "R2023",
        "source_label": "03.12.2023 audited reconstruction",
        "source_date": "2023-12-03",
        "source_question_no": 41,
        "replacement": true
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Yangi impulsni toping.",
            "accepted": [
              "2mc/√5"
            ],
            "answer_display": "2mc/√5"
          },
          {
            "key": "b",
            "prompt": "Impuls necha marta ortishini toping.",
            "accepted": [
              "4√(2/5) ≈ 2.53 marta",
              "2.53"
            ],
            "answer_display": "4√(2/5) ≈ 2.53 marta"
          }
        ]
      },
      "answer_display": "a) 2mc/√5; b) 4√(2/5) ≈ 2.53 marta"
    },
    {
      "number": 43,
      "topic": "charged_particle_cyclotron",
      "prompt_uz": "Proton B magnit maydonga tik kirib R radiusli aylana bo‘ylab harakat qiladi. Aylanish chastotasi va tezligini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 43
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Protonning aylanish chastotasini toping.",
            "accepted": [
              "eB/(2πm)"
            ],
            "answer_display": "eB/(2πm)"
          },
          {
            "key": "b",
            "prompt": "Protonning tezligini toping.",
            "accepted": [
              "eBR/m"
            ],
            "answer_display": "eBR/m"
          }
        ]
      },
      "answer_display": "a) eB/(2πm); b) eBR/m"
    },
    {
      "number": 44,
      "topic": "geometric_optics_sun_image",
      "prompt_uz": "Quyosh diametri 13.8×10^8 m, Yer–Quyosh masofasi 150 mln km, linza fokusi 50 cm. Tasvir masofasi va tasvir diametrini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 44
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Linza hosil qilgan tasvir masofasini toping.",
            "accepted": [
              "≈500 mm",
              "500 mm",
              "500"
            ],
            "answer_display": "≈500 mm"
          },
          {
            "key": "b",
            "prompt": "Quyosh tasvirining diametrini toping.",
            "accepted": [
              "≈4.6 mm",
              "4.6 mm",
              "4.6"
            ],
            "answer_display": "≈4.6 mm"
          }
        ]
      },
      "answer_display": "a) ≈500 mm; b) ≈4.6 mm"
    },
    {
      "number": 45,
      "topic": "bohr_hydrogen",
      "prompt_uz": "Vodorod atomining ionlanish energiyasi 3.4 eV. Foton yutilgach impuls momenti 2ħ ga ortadi. Keyingi ionlanish energiyasi va elektron tezligi o‘zgarishini toping.",
      "context_uz": "",
      "diagram": null,
      "source": {
        "source_code": "M1",
        "source_label": "22.02.2025 deep-crosschecked reconstruction",
        "source_date": "2025-02-22",
        "source_question_no": 45
      },
      "response": {
        "type": "two_part",
        "parts": [
          {
            "key": "a",
            "prompt": "Keyingi holat uchun ionlanish energiyasini toping.",
            "accepted": [
              "0.85 eV",
              "0.85"
            ],
            "answer_display": "0.85 eV"
          },
          {
            "key": "b",
            "prompt": "Elektron tezligi qanday o‘zgarishini aniqlang.",
            "accepted": [
              "2 marta kamayadi"
            ],
            "answer_display": "2 marta kamayadi"
          }
        ]
      },
      "answer_display": "a) 0.85 eV; b) 2 marta kamayadi"
    }
  ]
}